Submersion from semi-Riemannian manifolds onto lightlike manifolds

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Küçük Resim

Tarih

2010

Dergi Başlığı

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Cilt Başlığı

Yayıncı

Hacettepe Journal of Mathematics and Statistics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Abstract: In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples. Then we define O’Neill’s tensors for such submersions and investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.

Açıklama

Hacettepe Journal of Mathematics and Statistics Yıl: 2010Cilt: 39Sayı: 1ISSN: 1303-5010 / 2651-477XSayfa Aralığı: 41 - 53Metin Dili:İngilizce

Anahtar Kelimeler

Kaynak

Hacettepe Journal of Mathematics and Statistics

WoS Q Değeri

Scopus Q Değeri

Cilt

39

Sayı

1

Künye

ŞAHİN B,GÜNDÜZÜLALP Y (2010). Submersion from semi-Riemannian manifolds onto lightlike manifolds. Hacettepe Journal of Mathematics and Statistics, 39(1), 41 - 53.